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adell [148]
2 years ago
9

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 unit how many unit cubes does i

t take to fill the prism
Mathematics
1 answer:
Elenna [48]2 years ago
7 0

Answer:

<em><u>135</u></em> cubes would fill the prism

Step-by-step explanation:

volume of one small cube = (1/3)^3

= 0.037 cubic units

Number of cubes that would fill the prism =

5 cubic units / 0.037 cubic units

= 135 cubes

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Step-by-step explanation:

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Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


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2 years ago
Can someone please help me with this question.
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